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Finding the Fourth Proportional to 160,307, 221,233.90 and 89,651

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Solution

The fourth proportional to 160,307, 221,233.90 and 89,651 is: 123,724.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,307 : 221,233.90 = 89,651 : x
  2. Step 2: Convert to fraction form
    160,307/221,233.90 = 89,651/x
  3. Step 3: Cross multiply
    160,307x = 221,233.90 × 89,651
  4. Step 4: Simplify right side
    160,307x = 19,833,840,368.90
  5. Step 5: Solve for x
    x = 19,833,840,368.90/160,307
  6. Step 6: Final answer
    x = 123,724.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.